problem14_62

University Physics with Modern Physics with Mastering Physics (11th Edition)

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14.62: To save some intermediate calculation, let the density, mass and volume of the life preserver be , and , 0 v m ρ and the same quantities for the person be . and , 1 V M ρ Then, equating the buoyant force and the weight, and dividing out the common factor of , g ( 29 ( 29 , 80 . 0 1 0 water V ρ v ρ v V ρ + = + Eliminating V in favor of 1 ρ and , M and eliminating m in favor of 0 ρ and , v ( 29 . 80 . 0 1 water 0 + = + v ρ M ρ M v ρ Solving for
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Unformatted text preview: , ( 29 - + = M v M v 1 water 80 . 1 ( 29 --= 1 water water 80 . 1 v M -- = 3 3 3 3 3 3 m kg 980 m kg 10 1.03 (0.80) 1 m 0.400 kg . 75 m kg 10 03 . 1 = 3 m kg 732...
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